I recently moved to Florida from Cincy. I bike in Columbus a few times and it's a very bike-friendly city. Good paths as well as good roads. I would also ride in the yearly 50 miler to benefit the Columbus Zoo. They block the streets off and have rest stops setup with food and drink. You get a shirt, admission to the zoo, and a great ride for 20 bucks. And the zoo gets the proceeds.

I visited Columbus this week. Was walking about 20 minutes tops and saw 2 bikers on the main streets and one bike messenger. When I have stayed up there have been surprised by the number of cyclists. I have not cycled there myself since 1974 when I moved. It probably depends on where you live and where you need to ride.

I live up in NE Ohio about 3 1/2 hours from Columbus so I am no expert. However, a month or so ago I went to Xenia which is a hub of several long bike trails leading in all directions. Xenia is only an hour at most from Columbus. One of the trails heads toward Columbus and really isn't far from making the connection. I can't say enough about the marvelous trail system being developed in SW Ohio. One piece of advice: Stay away from Springfield, it is an armpit.

And that trail from Xenia extends 50mi south to Milford which is a suburb of Cincinnati.
Labor Day weekend there is a ride called the Ox Roast. It in the Columbus area. The terrain is mostly flat. I did my first century there.
There are also many good rides in Kentucky and Indiana that are reasonable driving distances.